TSTP Solution File: SYN556-1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN556-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:24:57 EDT 2022
% Result : Unsatisfiable 2.95s 3.12s
% Output : Refutation 2.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN556-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Jul 23 03:40:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.95/3.12 GeoParameters:
% 2.95/3.12
% 2.95/3.12 tptp_input = 1
% 2.95/3.12 tptp_output = 0
% 2.95/3.12 nonempty = 1
% 2.95/3.12 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.95/3.12 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.95/3.12
% 2.95/3.12
% 2.95/3.12 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.95/3.12 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.95/3.12
% 2.95/3.12 RuleSystem INPUT:
% 2.95/3.12
% 2.95/3.12 Initial Rules:
% 2.95/3.12 #0: input, references = 7, size of lhs = 1:
% 2.95/3.12 #-{F} V0 | p2-{T}(V0,V0)
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #1: input, references = 7, size of lhs = 1:
% 2.95/3.12 #-{F} V0 | p3-{T}(V0,V0)
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #2: input, references = 4, size of lhs = 2:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1) | p2-{T}(V0,V1)
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #3: input, references = 3, size of lhs = 5:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), P_f7-{F}(V2,V4), P_f7-{F}(V3,V5), p2-{F}(V2,V3) | p2-{T}(V4,V5)
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #4: input, references = 3, size of lhs = 5:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), P_f6-{F}(V2,V4), P_f6-{F}(V3,V5), p2-{F}(V2,V3) | p2-{T}(V4,V5)
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #5: input, references = 3, size of lhs = 4:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V4,V2), p2-{F}(V4,V3) | p2-{T}(V2,V3)
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #6: input, references = 6, size of lhs = 4:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), p3-{F}(V4,V2), p3-{F}(V4,V3) | p3-{T}(V2,V3)
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #7: input, references = 5, size of lhs = 10:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f4-{F}(V1,V8,V3,V9) | p3-{T}(V2,V9)
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #8: input, references = 6, size of lhs = 14:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f4-{F}(V1,V8,V3,V9), P_f8-{F}(V3,V0,V10), P_f5-{F}(V10,V7,V11), P_f4-{F}(V0,V11,V3,V12), p3-{F}(V2,V12) | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #9: input, references = 10, size of lhs = 17:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f4-{F}(V1,V8,V3,V9), P_f8-{F}(V3,V0,V10), P_f5-{F}(V10,V7,V11), P_f4-{F}(V0,V11,V3,V12), p2-{F}(V13,V14), P_f5-{F}(V16,V13,V17), P_f5-{F}(V15,V14,V18), p2-{F}(V16,V15) | p2-{T}(V17,V18)
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #10: input, references = 6, size of lhs = 17:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f4-{F}(V1,V8,V3,V9), P_f8-{F}(V3,V0,V10), P_f5-{F}(V10,V7,V11), P_f4-{F}(V0,V11,V3,V12), p2-{F}(V13,V14), P_f8-{F}(V16,V13,V17), P_f8-{F}(V15,V14,V18), p3-{F}(V16,V15) | p2-{T}(V17,V18)
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #11: input, references = 7, size of lhs = 18:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f4-{F}(V1,V8,V3,V9), P_f8-{F}(V3,V0,V10), P_f5-{F}(V10,V7,V11), P_f4-{F}(V0,V11,V3,V12), p3-{F}(V13,V14), p2-{F}(V16,V15), P_f4-{F}(V18,V16,V13,V19), P_f4-{F}(V17,V15,V14,V20), p2-{F}(V18,V17) | p3-{T}(V19,V20)
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #12: input, references = 4, size of lhs = 0:
% 2.95/3.12 FALSE | EXISTS V0: P_c10-{T}(V0)
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #13: input, references = 4, size of lhs = 0:
% 2.95/3.12 FALSE | EXISTS V0: P_c13-{T}(V0)
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #14: input, references = 5, size of lhs = 1:
% 2.95/3.12 #-{F} V0 | EXISTS V1: P_f7-{T}(V0,V1)
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #15: input, references = 5, size of lhs = 1:
% 2.95/3.12 #-{F} V0 | EXISTS V1: P_f6-{T}(V0,V1)
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #16: input, references = 5, size of lhs = 0:
% 2.95/3.12 FALSE | EXISTS V0: P_c9-{T}(V0)
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #17: input, references = 17, size of lhs = 3:
% 2.95/3.12 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_f4-{T}(V0,V1,V2,V3)
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #18: input, references = 14, size of lhs = 2:
% 2.95/3.12 #-{F} V0, #-{F} V1 | EXISTS V2: P_f5-{T}(V0,V1,V2)
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #19: input, references = 7, size of lhs = 2:
% 2.95/3.12 #-{F} V0, #-{F} V1 | EXISTS V2: P_f8-{T}(V0,V1,V2)
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #20: input, references = 5, size of lhs = 0:
% 2.95/3.12 FALSE | EXISTS V0: P_c11-{T}(V0)
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #21: input, references = 5, size of lhs = 0:
% 2.95/3.12 FALSE | EXISTS V0: P_c12-{T}(V0)
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 number of initial rules = 22
% 2.95/3.12
% 2.95/3.12 Simplifiers:
% 2.95/3.12 #22: unsound, references = 3, size of lhs = 3:
% 2.95/3.12 P_c10-{F}(V0), P_c10-{F}(V1), V0 == V1 | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #23: unsound, references = 3, size of lhs = 3:
% 2.95/3.12 P_c13-{F}(V0), P_c13-{F}(V1), V0 == V1 | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #24: unsound, references = 3, size of lhs = 3:
% 2.95/3.12 P_f7-{F}(V0,V1), P_f7-{F}(V0,V3), V1 == V3 | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #25: unsound, references = 3, size of lhs = 3:
% 2.95/3.12 P_f6-{F}(V0,V1), P_f6-{F}(V0,V3), V1 == V3 | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #26: unsound, references = 3, size of lhs = 3:
% 2.95/3.12 P_c9-{F}(V0), P_c9-{F}(V1), V0 == V1 | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #27: unsound, references = 3, size of lhs = 3:
% 2.95/3.12 P_f4-{F}(V0,V1,V2,V3), P_f4-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #28: unsound, references = 3, size of lhs = 3:
% 2.95/3.12 P_f5-{F}(V0,V1,V2), P_f5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #29: unsound, references = 3, size of lhs = 3:
% 2.95/3.12 P_f8-{F}(V0,V1,V2), P_f8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #30: unsound, references = 3, size of lhs = 3:
% 2.95/3.12 P_c11-{F}(V0), P_c11-{F}(V1), V0 == V1 | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #31: unsound, references = 3, size of lhs = 3:
% 2.95/3.12 P_c12-{F}(V0), P_c12-{F}(V1), V0 == V1 | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 number of simplifiers = 10
% 2.95/3.12
% 2.95/3.12 Learnt:
% 2.95/3.12 #40: mergings( V4 == V0, V5 == V10, V10 == V14, V6 == V11, V7 == V12, V8 == V13; #33 ), references = 1, size of lhs = 9:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V0), P_c9-{F}(V1), P_c11-{F}(V2), P_c12-{F}(V3), P_f7-{F}(V3,V4), P_f6-{F}(V4,V5), P_f8-{F}(V2,V0,V6), P_f5-{F}(V6,V5,V7) | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #45: mergings( V3 == V6, V4 == V9, V5 == V10; #41 ), references = 1, size of lhs = 8:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V0), P_c9-{F}(V1), P_c11-{F}(V2), P_c12-{F}(V3), P_f7-{F}(V3,V4), P_f6-{F}(V4,V5), P_f8-{F}(V2,V0,V6) | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #50: mergings( V3 == V1, V4 == V8, V5 == V9; #46 ), references = 1, size of lhs = 7:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V0), P_c9-{F}(V1), P_c11-{F}(V2), P_c12-{F}(V3), P_f7-{F}(V3,V4), P_f6-{F}(V4,V5) | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #54: mergings( V2 == V4, V3 == V7; #51 ), references = 1, size of lhs = 6:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V0), P_c9-{F}(V1), P_c11-{F}(V2), P_c12-{F}(V3), P_f7-{F}(V3,V4) | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #57: mergings( V2 == V3; #55 ), references = 1, size of lhs = 5:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V0), P_c9-{F}(V1), P_c11-{F}(V2), P_c12-{F}(V3) | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #60: mergings( V1 == V2; #58 ), references = 1, size of lhs = 4:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V0), P_c9-{F}(V1), P_c11-{F}(V2) | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #63: mergings( V1 == V2; #61 ), references = 1, size of lhs = 3:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V0), P_c9-{F}(V1) | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #66: mergings( V1 == V2; #64 ), references = 1, size of lhs = 2:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V0) | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #78: mergings( V4 == V13, V5 == V14, V6 == V15, V12 == V21, V7 == V16, V8 == V17, V9 == V18, V10 == V19, V11 == V20; #68 ), references = 3, size of lhs = 16:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f4-{F}(V1,V8,V3,V9), P_f8-{F}(V3,V0,V10), P_f5-{F}(V10,V7,V11), p3-{F}(V12,V3), p2-{F}(V13,V11), P_f4-{F}(V14,V13,V12,V2), p2-{F}(V14,V0) | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #86: mergings( V4 == V9, V10 == V13, V11 == V17, V5 == V14, V6 == V15, V7 == V16; #79 ), references = 4, size of lhs = 15:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), P_f5-{F}(V9,V7,V10), p3-{F}(V11,V3), p2-{F}(V12,V10), P_f4-{F}(V13,V12,V11,V2), p2-{F}(V13,V0) | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #99: mergings( V4 == V13, V5 == V14, V6 == V15, V10 == V19, V7 == V16, V8 == V17, V9 == V18, V11 == V20; #90 ), references = 1, size of lhs = 19:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), P_f5-{F}(V9,V7,V10), P_f4-{F}(V0,V10,V3,V11), p3-{F}(V12,V3), p2-{F}(V13,V0), P_f4-{F}(V13,V14,V12,V2), p2-{F}(V15,V16), P_f5-{F}(V17,V15,V14), p2-{F}(V17,V18), P_f5-{F}(V18,V16,V10) | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #111: mergings( V4 == V13, V0 == V14, V5 == V15, V2 == V16, V6 == V17, V10 == V22, V7 == V18, V8 == V19, V9 == V20, V1 == V21, V11 == V23; #89 ), references = 1, size of lhs = 19:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), P_f5-{F}(V9,V7,V10), P_f4-{F}(V0,V10,V3,V11), p3-{F}(V12,V3), p2-{F}(V13,V0), P_f4-{F}(V13,V14,V12,V2), p2-{F}(V15,V16), P_f5-{F}(V17,V15,V14), p2-{F}(V17,V18), P_f5-{F}(V18,V16,V10) | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #122: mergings( V0 == V8, V4 == V10, V11 == V14, V13 == V18, V5 == V15, V6 == V16, V7 == V17, V1 == V19; #112 ), references = 2, size of lhs = 18:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), P_f5-{F}(V9,V7,V10), p3-{F}(V11,V3), p2-{F}(V12,V0), P_f4-{F}(V12,V13,V11,V2), p2-{F}(V14,V15), P_f5-{F}(V16,V14,V13), p2-{F}(V16,V17), P_f5-{F}(V17,V15,V10) | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #134: mergings( V0 == V12, V4 == V13, V5 == V14, V2 == V15, V6 == V16, V11 == V21, V7 == V17, V8 == V18, V9 == V19, V10 == V20, V1 == V22; #113 ), references = 2, size of lhs = 18:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), P_f5-{F}(V9,V7,V10), p3-{F}(V11,V3), p2-{F}(V12,V0), P_f4-{F}(V12,V13,V11,V2), p2-{F}(V14,V15), P_f5-{F}(V16,V14,V13), p2-{F}(V16,V17), P_f5-{F}(V17,V15,V10) | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #141: mergings( V3 == V7, V4 == V9, V5 == V11, V6 == V12; #135 ), references = 1, size of lhs = 15:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_f8-{F}(V3,V0,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), p3-{F}(V8,V3), p2-{F}(V9,V0), p2-{F}(V10,V7), p2-{F}(V11,V4), P_f5-{F}(V11,V10,V12), P_f4-{F}(V9,V12,V8,V2) | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #148: mergings( V3 == V9, V4 == V10, V5 == V11, V6 == V12, V7 == V13, V8 == V14; #136 ), references = 1, size of lhs = 15:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_f8-{F}(V3,V0,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), p3-{F}(V8,V3), p2-{F}(V9,V0), p2-{F}(V10,V7), p2-{F}(V11,V4), P_f5-{F}(V11,V10,V12), P_f4-{F}(V9,V12,V8,V2) | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #186: mergings( V4 == V10, V10 == V12, V12 == V21, V21 == V23, V23 == V25, V11 == V22, V22 == V24, V24 == V0, V5 == V13, V13 == V26, V6 == V14, V14 == V27, V18 == V31, V7 == V15, V8 == V16, V9 == V17, V15 == V28, V16 == V29, V17 == V30, V19 == V32, V20 == V33; #162 ), references = 3, size of lhs = 18:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), P_f5-{F}(V9,V7,V10), P_f4-{F}(V0,V10,V3,V11), p3-{F}(V12,V3), p2-{F}(V13,V8), p2-{F}(V14,V1), P_f4-{F}(V14,V13,V12,V15), p3-{F}(V15,V11) | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #195: mergings( V4 == V13, V5 == V14, V6 == V15, V10 == V19, V7 == V16, V8 == V17, V9 == V18, V11 == V20; #164 ), references = 2, size of lhs = 20:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), P_f5-{F}(V9,V7,V10), P_f4-{F}(V0,V10,V3,V11), p2-{F}(V12,V10), p2-{F}(V13,V0), P_f4-{F}(V13,V12,V14,V2), p3-{F}(V15,V16), p2-{F}(V17,V18), P_f4-{F}(V19,V17,V15,V14), p2-{F}(V19,V20), P_f4-{F}(V20,V18,V16,V3) | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #207: mergings( V4 == V13, V0 == V14, V5 == V15, V2 == V16, V6 == V17, V10 == V22, V7 == V18, V8 == V19, V9 == V20, V1 == V21, V11 == V23; #163 ), references = 2, size of lhs = 20:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), P_f5-{F}(V9,V7,V10), P_f4-{F}(V0,V10,V3,V11), p2-{F}(V12,V10), p2-{F}(V13,V0), P_f4-{F}(V13,V12,V14,V2), p3-{F}(V15,V16), p2-{F}(V17,V18), P_f4-{F}(V19,V17,V15,V14), p2-{F}(V19,V20), P_f4-{F}(V20,V18,V16,V3) | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #210: exists( #17, #195 ), references = 3, size of lhs = 19:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), P_f5-{F}(V9,V7,V10), p2-{F}(V11,V10), p2-{F}(V12,V0), P_f4-{F}(V12,V11,V13,V2), p3-{F}(V14,V15), p2-{F}(V16,V17), P_f4-{F}(V18,V16,V14,V13), p2-{F}(V18,V19), P_f4-{F}(V19,V17,V15,V3) | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #211: exists( #17, #207 ), references = 2, size of lhs = 19:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), P_f5-{F}(V9,V7,V10), p2-{F}(V11,V10), p2-{F}(V12,V0), P_f4-{F}(V12,V11,V13,V2), p3-{F}(V14,V15), p2-{F}(V16,V17), P_f4-{F}(V18,V16,V14,V13), p2-{F}(V18,V19), P_f4-{F}(V19,V17,V15,V3) | FALSE
% 2.95/3.12 (used 0 times, uses = {})
% 2.95/3.12
% 2.95/3.12 #214: exists( #17, #212 ), references = 2, size of lhs = 15:
% 2.95/3.12 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), P_f5-{F}(V9,V7,V10), p2-{F}(V10,V8) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #217: exists( #18, #215 ), references = 1, size of lhs = 12:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V1,V4), P_f8-{F}(V3,V0,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #231: mergings( V4 == V13, V5 == V14, V6 == V15, V12 == V20, V7 == V16, V8 == V17, V9 == V18, V10 == V19; #222 ), references = 1, size of lhs = 19:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f4-{F}(V1,V8,V3,V9), P_f8-{F}(V3,V0,V10), P_f5-{F}(V10,V7,V11), p2-{F}(V12,V13), P_f5-{F}(V14,V12,V11), p2-{F}(V14,V15), P_f5-{F}(V15,V13,V8) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #243: mergings( V0 == V13, V4 == V14, V5 == V15, V2 == V16, V6 == V17, V12 == V22, V7 == V18, V8 == V19, V9 == V20, V10 == V21, V1 == V23; #221 ), references = 1, size of lhs = 19:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f4-{F}(V1,V8,V3,V9), P_f8-{F}(V3,V0,V10), P_f5-{F}(V10,V7,V11), p2-{F}(V12,V13), P_f5-{F}(V14,V12,V11), p2-{F}(V14,V15), P_f5-{F}(V15,V13,V8) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #254: mergings( V0 == V9, V4 == V10, V11 == V14, V12 == V19, V5 == V15, V6 == V16, V7 == V17, V1 == V18; #244 ), references = 2, size of lhs = 18:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), P_f5-{F}(V9,V7,V10), p2-{F}(V11,V12), P_f5-{F}(V13,V11,V10), p2-{F}(V13,V14), P_f5-{F}(V14,V12,V8) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #266: mergings( V4 == V12, V0 == V13, V5 == V14, V2 == V15, V6 == V16, V10 == V21, V7 == V17, V8 == V18, V9 == V19, V1 == V20, V11 == V22; #245 ), references = 1, size of lhs = 18:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), P_f5-{F}(V9,V7,V10), p2-{F}(V11,V12), P_f5-{F}(V13,V11,V10), p2-{F}(V13,V14), P_f5-{F}(V14,V12,V8) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #275: mergings( V3 == V8, V4 == V9, V11 == V13, V12 == V16, V5 == V14, V6 == V15; #267 ), references = 2, size of lhs = 16:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), p2-{F}(V7,V10), p2-{F}(V9,V11), P_f5-{F}(V11,V10,V8) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #284: mergings( V3 == V11, V4 == V12, V5 == V13, V6 == V14, V7 == V15, V10 == V18, V8 == V16, V9 == V17; #268 ), references = 2, size of lhs = 16:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V0,V4), P_f8-{F}(V3,V1,V5), P_c12-{F}(V6), P_f7-{F}(V6,V7), P_f6-{F}(V7,V8), P_f5-{F}(V5,V8,V9), p2-{F}(V8,V10), p2-{F}(V4,V11), P_f5-{F}(V11,V10,V9) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #288: exists( #18, #210 ), references = 2, size of lhs = 18:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f8-{F}(V3,V0,V8), P_f5-{F}(V8,V7,V9), p2-{F}(V10,V9), p2-{F}(V11,V0), P_f4-{F}(V11,V10,V12,V2), p3-{F}(V13,V14), p2-{F}(V15,V16), P_f4-{F}(V17,V15,V13,V12), p2-{F}(V17,V18), P_f4-{F}(V18,V16,V14,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #289: exists( #18, #211 ), references = 2, size of lhs = 18:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f8-{F}(V3,V0,V8), P_f5-{F}(V8,V7,V9), p2-{F}(V10,V9), p2-{F}(V11,V0), P_f4-{F}(V11,V10,V12,V2), p3-{F}(V13,V14), p2-{F}(V15,V16), P_f4-{F}(V17,V15,V13,V12), p2-{F}(V17,V18), P_f4-{F}(V18,V16,V14,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #290: exists( #18, #86 ), references = 1, size of lhs = 14:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f8-{F}(V3,V0,V8), P_f5-{F}(V8,V7,V9), p3-{F}(V10,V3), p2-{F}(V11,V9), P_f4-{F}(V12,V11,V10,V2), p2-{F}(V12,V0) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #293: exists( #18, #122 ), references = 1, size of lhs = 17:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f8-{F}(V3,V0,V8), P_f5-{F}(V8,V7,V9), p3-{F}(V10,V3), p2-{F}(V11,V0), P_f4-{F}(V11,V12,V10,V2), p2-{F}(V13,V14), P_f5-{F}(V15,V13,V12), p2-{F}(V15,V16), P_f5-{F}(V16,V14,V9) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #294: exists( #18, #134 ), references = 1, size of lhs = 17:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f8-{F}(V3,V0,V8), P_f5-{F}(V8,V7,V9), p3-{F}(V10,V3), p2-{F}(V11,V0), P_f4-{F}(V11,V12,V10,V2), p2-{F}(V13,V14), P_f5-{F}(V15,V13,V12), p2-{F}(V15,V16), P_f5-{F}(V16,V14,V9) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #297: exists( #18, #291 ), references = 1, size of lhs = 15:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f8-{F}(V3,V0,V8), p3-{F}(V9,V3), p2-{F}(V10,V0), p2-{F}(V11,V7), p2-{F}(V12,V8), P_f5-{F}(V12,V11,V13), P_f4-{F}(V10,V13,V9,V2) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #298: exists( #18, #292 ), references = 1, size of lhs = 15:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f8-{F}(V3,V0,V8), p3-{F}(V9,V3), p2-{F}(V10,V0), p2-{F}(V11,V7), p2-{F}(V12,V8), P_f5-{F}(V12,V11,V13), P_f4-{F}(V10,V13,V9,V2) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #324: mergings( V4 == V13, V0 == V14, V5 == V15, V2 == V16, V6 == V17, V10 == V21, V7 == V18, V8 == V19, V9 == V20, V11 == V22; #311 ), references = 1, size of lhs = 23:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), P_f5-{F}(V9,V7,V10), P_f4-{F}(V0,V10,V3,V11), p2-{F}(V12,V0), p2-{F}(V13,V14), P_f5-{F}(V15,V14,V10), p2-{F}(V16,V15), P_f5-{F}(V16,V13,V17), P_f4-{F}(V12,V17,V18,V2), p3-{F}(V19,V20), p2-{F}(V21,V22), P_f4-{F}(V23,V21,V19,V18), p2-{F}(V23,V24), P_f4-{F}(V24,V22,V20,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #335: mergings( V4 == V13, V0 == V14, V5 == V15, V2 == V16, V6 == V17, V10 == V21, V7 == V18, V8 == V19, V9 == V20, V11 == V22; #312 ), references = 1, size of lhs = 23:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), P_f5-{F}(V9,V7,V10), P_f4-{F}(V0,V10,V3,V11), p2-{F}(V12,V0), p2-{F}(V13,V14), P_f5-{F}(V15,V14,V10), p2-{F}(V16,V15), P_f5-{F}(V16,V13,V17), P_f4-{F}(V12,V17,V18,V2), p3-{F}(V19,V20), p2-{F}(V21,V22), P_f4-{F}(V23,V21,V19,V18), p2-{F}(V23,V24), P_f4-{F}(V24,V22,V20,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #347: mergings( V4 == V13, V0 == V14, V5 == V15, V2 == V16, V6 == V17, V10 == V22, V7 == V18, V8 == V19, V9 == V20, V1 == V21, V11 == V23; #313 ), references = 1, size of lhs = 23:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), P_f5-{F}(V9,V7,V10), P_f4-{F}(V0,V10,V3,V11), p2-{F}(V12,V0), p2-{F}(V13,V14), P_f5-{F}(V15,V14,V10), p2-{F}(V16,V15), P_f5-{F}(V16,V13,V17), P_f4-{F}(V12,V17,V18,V2), p3-{F}(V19,V20), p2-{F}(V21,V22), P_f4-{F}(V23,V21,V19,V18), p2-{F}(V23,V24), P_f4-{F}(V24,V22,V20,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #361: mergings( V0 == V12, V4 == V13, V5 == V14, V2 == V15, V6 == V16, V11 == V20, V7 == V17, V8 == V18, V9 == V19, V1 == V21; #348 ), references = 1, size of lhs = 22:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), P_f5-{F}(V9,V7,V10), p2-{F}(V11,V0), p2-{F}(V12,V13), P_f5-{F}(V14,V13,V10), p2-{F}(V15,V14), P_f5-{F}(V15,V12,V16), P_f4-{F}(V11,V16,V17,V2), p3-{F}(V18,V19), p2-{F}(V20,V21), P_f4-{F}(V22,V20,V18,V17), p2-{F}(V22,V23), P_f4-{F}(V23,V21,V19,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #372: mergings( V0 == V12, V4 == V13, V5 == V14, V2 == V15, V6 == V16, V11 == V20, V7 == V17, V8 == V18, V9 == V19, V1 == V21; #349 ), references = 1, size of lhs = 22:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), P_f5-{F}(V9,V7,V10), p2-{F}(V11,V0), p2-{F}(V12,V13), P_f5-{F}(V14,V13,V10), p2-{F}(V15,V14), P_f5-{F}(V15,V12,V16), P_f4-{F}(V11,V16,V17,V2), p3-{F}(V18,V19), p2-{F}(V20,V21), P_f4-{F}(V22,V20,V18,V17), p2-{F}(V22,V23), P_f4-{F}(V23,V21,V19,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #384: mergings( V0 == V12, V4 == V13, V5 == V14, V2 == V15, V6 == V16, V11 == V21, V7 == V17, V8 == V18, V9 == V19, V10 == V20, V1 == V22; #350 ), references = 1, size of lhs = 22:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), P_f5-{F}(V9,V7,V10), p2-{F}(V11,V0), p2-{F}(V12,V13), P_f5-{F}(V14,V13,V10), p2-{F}(V15,V14), P_f5-{F}(V15,V12,V16), P_f4-{F}(V11,V16,V17,V2), p3-{F}(V18,V19), p2-{F}(V20,V21), P_f4-{F}(V22,V20,V18,V17), p2-{F}(V22,V23), P_f4-{F}(V23,V21,V19,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #398: mergings( V3 == V11, V4 == V12, V5 == V13, V6 == V14, V0 == V15, V9 == V19, V7 == V16, V8 == V17, V1 == V18, V10 == V20; #385 ), references = 1, size of lhs = 21:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f8-{F}(V3,V0,V8), P_f5-{F}(V8,V7,V9), p2-{F}(V10,V0), p2-{F}(V11,V12), P_f5-{F}(V13,V12,V9), p2-{F}(V14,V13), P_f5-{F}(V14,V11,V15), P_f4-{F}(V10,V15,V16,V2), p3-{F}(V17,V18), p2-{F}(V19,V20), P_f4-{F}(V21,V19,V17,V16), p2-{F}(V21,V22), P_f4-{F}(V22,V20,V18,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #409: mergings( V3 == V11, V4 == V12, V5 == V13, V6 == V14, V0 == V15, V9 == V19, V7 == V16, V8 == V17, V1 == V18, V10 == V20; #386 ), references = 1, size of lhs = 21:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f8-{F}(V3,V0,V8), P_f5-{F}(V8,V7,V9), p2-{F}(V10,V0), p2-{F}(V11,V12), P_f5-{F}(V13,V12,V9), p2-{F}(V14,V13), P_f5-{F}(V14,V11,V15), P_f4-{F}(V10,V15,V16,V2), p3-{F}(V17,V18), p2-{F}(V19,V20), P_f4-{F}(V21,V19,V17,V16), p2-{F}(V21,V22), P_f4-{F}(V22,V20,V18,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #418: mergings( V3 == V11, V4 == V12, V5 == V13, V6 == V14, V9 == V17, V10 == V18, V7 == V15, V8 == V16; #387 ), references = 1, size of lhs = 21:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f8-{F}(V3,V0,V8), P_f5-{F}(V8,V7,V9), p2-{F}(V10,V0), p2-{F}(V11,V12), P_f5-{F}(V13,V12,V9), p2-{F}(V14,V13), P_f5-{F}(V14,V11,V15), P_f4-{F}(V10,V15,V16,V2), p3-{F}(V17,V18), p2-{F}(V19,V20), P_f4-{F}(V21,V19,V17,V16), p2-{F}(V21,V22), P_f4-{F}(V22,V20,V18,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #429: mergings( V3 == V10, V4 == V11, V5 == V12, V6 == V13, V7 == V14, V8 == V15, V9 == V16; #419 ), references = 1, size of lhs = 19:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V0,V4), P_f8-{F}(V3,V1,V5), P_c12-{F}(V6), P_f7-{F}(V6,V7), P_f6-{F}(V7,V8), p2-{F}(V9,V0), p2-{F}(V10,V8), p2-{F}(V11,V4), P_f5-{F}(V11,V10,V12), P_f4-{F}(V9,V12,V13,V2), p3-{F}(V14,V15), p2-{F}(V16,V17), P_f4-{F}(V18,V16,V14,V13), p2-{F}(V18,V19), P_f4-{F}(V19,V17,V15,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #437: mergings( V3 == V10, V4 == V11, V5 == V12, V6 == V13, V7 == V14, V8 == V15, V9 == V16; #420 ), references = 1, size of lhs = 19:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V0,V4), P_f8-{F}(V3,V1,V5), P_c12-{F}(V6), P_f7-{F}(V6,V7), P_f6-{F}(V7,V8), p2-{F}(V9,V0), p2-{F}(V10,V8), p2-{F}(V11,V4), P_f5-{F}(V11,V10,V12), P_f4-{F}(V9,V12,V13,V2), p3-{F}(V14,V15), p2-{F}(V16,V17), P_f4-{F}(V18,V16,V14,V13), p2-{F}(V18,V19), P_f4-{F}(V19,V17,V15,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #444: mergings( V3 == V10, V4 == V11, V5 == V12, V6 == V13, V8 == V14, V9 == V15; #421 ), references = 1, size of lhs = 19:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V1,V4), P_f8-{F}(V3,V0,V5), P_c12-{F}(V6), P_f7-{F}(V6,V7), P_f6-{F}(V7,V8), p2-{F}(V9,V0), p2-{F}(V10,V8), p2-{F}(V11,V5), P_f5-{F}(V11,V10,V12), P_f4-{F}(V9,V12,V13,V2), p3-{F}(V14,V15), p2-{F}(V16,V17), P_f4-{F}(V18,V16,V14,V13), p2-{F}(V18,V19), P_f4-{F}(V19,V17,V15,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #452: mergings( V3 == V9, V4 == V10, V5 == V11, V6 == V12; #445 ), references = 1, size of lhs = 18:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V0,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), p2-{F}(V8,V0), p2-{F}(V9,V7), p2-{F}(V10,V4), P_f5-{F}(V10,V9,V11), P_f4-{F}(V8,V11,V12,V2), p3-{F}(V13,V14), p2-{F}(V15,V16), P_f4-{F}(V17,V15,V13,V12), p2-{F}(V17,V18), P_f4-{F}(V18,V16,V14,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #457: mergings( V3 == V9, V4 == V10, V5 == V11, V6 == V12; #446 ), references = 1, size of lhs = 18:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V0,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), p2-{F}(V8,V0), p2-{F}(V9,V7), p2-{F}(V10,V4), P_f5-{F}(V10,V9,V11), P_f4-{F}(V8,V11,V12,V2), p3-{F}(V13,V14), p2-{F}(V15,V16), P_f4-{F}(V17,V15,V13,V12), p2-{F}(V17,V18), P_f4-{F}(V18,V16,V14,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #462: mergings( V3 == V9, V4 == V10, V5 == V11, V6 == V12; #447 ), references = 1, size of lhs = 18:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), P_c9-{F}(V2), P_c11-{F}(V3), P_f8-{F}(V3,V0,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), p2-{F}(V8,V0), p2-{F}(V9,V7), p2-{F}(V10,V4), P_f5-{F}(V10,V9,V11), P_f4-{F}(V8,V11,V12,V2), p3-{F}(V13,V14), p2-{F}(V15,V16), P_f4-{F}(V17,V15,V13,V12), p2-{F}(V17,V18), P_f4-{F}(V18,V16,V14,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #503: mergings( V0 == V13, V4 == V14, V5 == V15, V2 == V16, V6 == V17, V12 == V22, V7 == V18, V8 == V19, V9 == V20, V10 == V21; #490 ), references = 1, size of lhs = 21:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f4-{F}(V1,V8,V3,V9), P_f8-{F}(V3,V0,V10), P_f5-{F}(V10,V7,V11), p2-{F}(V7,V12), P_f5-{F}(V13,V12,V8), p2-{F}(V14,V15), P_f8-{F}(V16,V14,V10), p3-{F}(V16,V17), P_f8-{F}(V17,V15,V13) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #514: mergings( V0 == V13, V4 == V14, V5 == V15, V2 == V16, V6 == V18, V12 == V17, V7 == V19, V8 == V20, V9 == V21, V10 == V22; #491 ), references = 1, size of lhs = 21:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V0,V4), P_f8-{F}(V3,V1,V5), P_c12-{F}(V6), P_f7-{F}(V6,V7), P_f6-{F}(V7,V8), P_f5-{F}(V4,V8,V9), P_f5-{F}(V5,V8,V10), P_f4-{F}(V1,V10,V3,V11), p2-{F}(V8,V12), P_f5-{F}(V13,V12,V10), p2-{F}(V14,V15), P_f8-{F}(V16,V14,V4), p3-{F}(V16,V17), P_f8-{F}(V17,V15,V13) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #526: mergings( V0 == V13, V4 == V14, V5 == V15, V2 == V16, V6 == V17, V12 == V22, V7 == V18, V8 == V19, V9 == V20, V10 == V21, V1 == V23; #492 ), references = 1, size of lhs = 22:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f4-{F}(V1,V8,V3,V9), P_f8-{F}(V3,V0,V10), P_f5-{F}(V10,V7,V11), p2-{F}(V12,V13), P_f8-{F}(V14,V12,V15), p3-{F}(V14,V16), P_f8-{F}(V16,V13,V17), P_f5-{F}(V15,V18,V11), p2-{F}(V18,V19), P_f5-{F}(V17,V19,V8) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #540: mergings( V4 == V12, V0 == V13, V5 == V14, V2 == V15, V6 == V16, V10 == V21, V7 == V17, V8 == V18, V9 == V19, V1 == V20; #527 ), references = 1, size of lhs = 20:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), P_f5-{F}(V9,V7,V10), p2-{F}(V7,V11), P_f5-{F}(V12,V11,V8), p2-{F}(V13,V14), P_f8-{F}(V15,V13,V9), p3-{F}(V15,V16), P_f8-{F}(V16,V14,V12) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #551: mergings( V4 == V12, V0 == V13, V5 == V14, V2 == V15, V6 == V17, V10 == V16, V7 == V18, V8 == V19, V9 == V20, V1 == V21; #528 ), references = 1, size of lhs = 20:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V0,V4), P_f8-{F}(V3,V1,V5), P_c12-{F}(V6), P_f7-{F}(V6,V7), P_f6-{F}(V7,V8), P_f5-{F}(V4,V8,V9), P_f5-{F}(V5,V8,V10), p2-{F}(V8,V11), P_f5-{F}(V12,V11,V10), p2-{F}(V13,V14), P_f8-{F}(V15,V13,V4), p3-{F}(V15,V16), P_f8-{F}(V16,V14,V12) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #563: mergings( V4 == V12, V0 == V13, V5 == V14, V2 == V15, V6 == V16, V10 == V21, V7 == V17, V8 == V18, V9 == V19, V1 == V20, V11 == V22; #529 ), references = 1, size of lhs = 21:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), P_f5-{F}(V9,V7,V10), p2-{F}(V11,V12), P_f8-{F}(V13,V11,V14), p3-{F}(V13,V15), P_f8-{F}(V15,V12,V16), P_f5-{F}(V14,V17,V10), p2-{F}(V17,V18), P_f5-{F}(V16,V18,V8) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #577: mergings( V3 == V11, V4 == V12, V5 == V13, V6 == V14, V7 == V15, V0 == V20, V8 == V16, V9 == V17, V1 == V18, V10 == V19; #564 ), references = 1, size of lhs = 19:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V4,V7,V8), P_f8-{F}(V3,V0,V9), p2-{F}(V7,V10), P_f5-{F}(V11,V10,V8), p2-{F}(V12,V13), P_f8-{F}(V14,V12,V9), p3-{F}(V14,V15), P_f8-{F}(V15,V13,V11) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #588: mergings( V3 == V11, V4 == V12, V5 == V13, V6 == V14, V7 == V16, V0 == V15, V8 == V17, V9 == V18, V1 == V19, V10 == V20; #565 ), references = 1, size of lhs = 19:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V0,V4), P_f8-{F}(V3,V1,V5), P_c12-{F}(V6), P_f7-{F}(V6,V7), P_f6-{F}(V7,V8), P_f5-{F}(V5,V8,V9), p2-{F}(V8,V10), P_f5-{F}(V11,V10,V9), p2-{F}(V12,V13), P_f8-{F}(V14,V12,V4), p3-{F}(V14,V15), P_f8-{F}(V15,V13,V11) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #597: mergings( V3 == V11, V4 == V12, V5 == V13, V6 == V14, V7 == V15, V10 == V18, V8 == V16, V9 == V17; #566 ), references = 1, size of lhs = 19:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V0,V4), P_f8-{F}(V3,V1,V5), P_c12-{F}(V6), P_f7-{F}(V6,V7), P_f6-{F}(V7,V8), P_f5-{F}(V5,V8,V9), p2-{F}(V8,V10), P_f5-{F}(V11,V10,V9), p2-{F}(V12,V13), P_f8-{F}(V14,V12,V4), p3-{F}(V14,V15), P_f8-{F}(V15,V13,V11) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #608: mergings( V3 == V10, V4 == V11, V5 == V12, V6 == V13, V9 == V16, V7 == V14, V8 == V15; #598 ), references = 1, size of lhs = 17:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V1,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), p2-{F}(V7,V7), P_f8-{F}(V3,V0,V8), p2-{F}(V9,V10), P_f8-{F}(V11,V9,V8), p3-{F}(V11,V12), P_f8-{F}(V12,V10,V4) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #616: mergings( V3 == V10, V4 == V11, V5 == V12, V6 == V13, V9 == V14, V7 == V15, V8 == V16; #599 ), references = 1, size of lhs = 17:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V1,V4), P_f8-{F}(V3,V0,V5), P_c12-{F}(V6), P_f7-{F}(V6,V7), P_f6-{F}(V7,V8), p2-{F}(V8,V8), p2-{F}(V9,V10), P_f8-{F}(V11,V9,V5), p3-{F}(V11,V12), P_f8-{F}(V12,V10,V4) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #623: mergings( V3 == V10, V4 == V11, V5 == V12, V6 == V13, V7 == V14, V8 == V15; #600 ), references = 1, size of lhs = 17:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V0,V4), P_f8-{F}(V3,V1,V5), P_c12-{F}(V6), P_f7-{F}(V6,V7), P_f6-{F}(V7,V8), p2-{F}(V8,V8), p2-{F}(V9,V10), P_f8-{F}(V11,V9,V4), p3-{F}(V11,V12), P_f8-{F}(V12,V10,V5) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #632: mergings( V3 == V9, V4 == V10, V8 == V13, V5 == V11, V6 == V12; #624 ), references = 1, size of lhs = 15:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_c12-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), p2-{F}(V6,V6), P_f8-{F}(V3,V0,V7), p2-{F}(V8,V1), P_f8-{F}(V9,V8,V7), p3-{F}(V9,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #638: mergings( V3 == V9, V4 == V10, V8 == V11, V5 == V12, V6 == V13; #625 ), references = 1, size of lhs = 15:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V0,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), p2-{F}(V7,V7), p2-{F}(V8,V1), P_f8-{F}(V9,V8,V4), p3-{F}(V9,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #643: mergings( V3 == V9, V4 == V10, V5 == V11, V6 == V12; #626 ), references = 1, size of lhs = 15:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V0,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), p2-{F}(V7,V7), p2-{F}(V8,V1), P_f8-{F}(V9,V8,V4), p3-{F}(V9,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #654: mergings( V2 == V5, V3 == V7, V9 == V11, V4 == V10; #647 ), references = 1, size of lhs = 13:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_c12-{F}(V4), P_f7-{F}(V4,V5), P_f8-{F}(V3,V0,V6), p2-{F}(V7,V1), P_f8-{F}(V8,V7,V6), p3-{F}(V8,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #659: mergings( V2 == V5, V3 == V7, V9 == V10, V4 == V11; #648 ), references = 1, size of lhs = 13:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V0,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), p2-{F}(V7,V1), P_f8-{F}(V8,V7,V4), p3-{F}(V8,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #663: mergings( V2 == V5, V3 == V7, V4 == V10; #649 ), references = 1, size of lhs = 13:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V0,V4), P_c12-{F}(V5), P_f7-{F}(V5,V6), p2-{F}(V7,V1), P_f8-{F}(V8,V7,V4), p3-{F}(V8,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #670: mergings( V2 == V4, V3 == V6, V8 == V9; #664 ), references = 1, size of lhs = 12:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_c12-{F}(V4), P_f8-{F}(V3,V0,V5), p2-{F}(V6,V1), P_f8-{F}(V7,V6,V5), p3-{F}(V7,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #674: mergings( V2 == V4, V3 == V6, V8 == V9; #665 ), references = 1, size of lhs = 12:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V0,V4), P_c12-{F}(V5), p2-{F}(V6,V1), P_f8-{F}(V7,V6,V4), p3-{F}(V7,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #677: mergings( V2 == V4, V3 == V6; #666 ), references = 1, size of lhs = 12:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_f8-{F}(V3,V0,V4), P_c12-{F}(V5), p2-{F}(V6,V1), P_f8-{F}(V7,V6,V4), p3-{F}(V7,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #682: mergings( V3 == V5; #678 ), references = 1, size of lhs = 8:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_c12-{F}(V4) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #684: mergings( V3 == V5; #679 ), references = 1, size of lhs = 8:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_c12-{F}(V4) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #686: mergings( V3 == V5; #680 ), references = 1, size of lhs = 8:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3), P_c12-{F}(V4) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #691: mergings( V1 == V4; #687 ), references = 2, size of lhs = 7:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2), P_c11-{F}(V3), p3-{F}(V3,V3) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #694: exists( #20, #692 ), references = 2, size of lhs = 5:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1), P_c9-{F}(V2), p3-{F}(V2,V2) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #697: exists( #16, #695 ), references = 1, size of lhs = 3:
% 2.95/3.13 P_c10-{F}(V0), P_c13-{F}(V1), p2-{F}(V0,V1) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #700: exists( #13, #698 ), references = 1, size of lhs = 1:
% 2.95/3.13 P_c10-{F}(V0) | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 #702: exists( #12, #699 ), references = 1, size of lhs = 0:
% 2.95/3.13 FALSE | FALSE
% 2.95/3.13 (used 0 times, uses = {})
% 2.95/3.13
% 2.95/3.13 number of learnt formulas = 80
% 2.95/3.13
% 2.95/3.13
% 2.95/3.13 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.95/3.13
% 2.95/3.13 randbase = 1
%------------------------------------------------------------------------------